How to evaluate a piecewise function with a hole

The video tutorial explains how to graph the function 2X + 5, focusing on the Y intercept and slope. It introduces constraints where X cannot equal zero, creating a hole in the graph. The function is evaluated at various points, including a special case at X = 0, where the function value is set to -1. The tutorial emphasizes understanding graph behavior and function evaluation without complex algebra.

What is the Y-intercept of the function 2X + 5?

• 10

• 5

• 2

• 0

What happens to the graph of the function at X = 0?

• It becomes undefined

• It has a hole and the value is set to -1

• It doubles in value

• It continues normally

Where is the point placed on the graph when X = 0?

• At Y = -1

• At Y = 0

• At Y = 5

• At Y = 2

What is the value of the function when X = -1?

• 3

• 2

• 4

• 1

How do you calculate the function value at X = 5?

• Subtract 5 from 10

• Divide by 5 and add 2

• Multiply by 5 and add 5

• Multiply by 2 and subtract 5